Anderson localization for the quasi-periodic CMV matrices with Verblunsky coefficients defined by the skew-shift
Abstract
In this paper, we study quasi-periodic CMV matrices with Verblunsky coefficients given by the skew-shift. We prove the positivity of Lyapunov exponents and Anderson localization for most frequencies, which establish the analogous results of one-dimensional Schrödinger operators proved by Bourgain, Goldstein and Schlag.
- Publication:
-
arXiv e-prints
- Pub Date:
- September 2022
- DOI:
- 10.48550/arXiv.2209.07012
- arXiv:
- arXiv:2209.07012
- Bibcode:
- 2022arXiv220907012L
- Keywords:
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- Mathematics - Spectral Theory;
- Mathematics - Dynamical Systems